Introduction Quizz

Calulus 1 for IT - 103

Thierry Coulbois - October, 29th 2002


Welcome in this new course.

This Quizz is not part of your evaluation. It is designed for me to know your background and adjust my course accordingly. It is compulsory to be able to do it without any mistake by the end of the introductory Chapter.

Choose the correct answer(s) for each question (possibly none or several). Click on the Okay Button whence you have finished.



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2/3<3/5 True False I don't know
5/7<8/11 True False I don't know
-2(-3+6)<9-16 True False I don't know
√3<7/4 True False I don't know

If a<b then

|3-π|=π-3 True False I don't know
|2-9/4|=1/4 True False I don't know
|√5-√7|=-√2 True False I don't know


The solutions of 2x + 3 = 4 are -2 -1/2 1/2 2 I don't know
The solutions of x2-2x=0 are -2 -√2 -1 0 1 √2 2 I don't know


The equation x2+5x+6=0 has
The equation x3-4x2+4x=0 has


The solutions of |x-7|=2 are     -9    -7    -5    0    5    7    9    I don't know

The solutions of 2x-3 ≥ 2 are (-∞, 2.5] [2.5, +∞) [-2.5, +∞) I don't know
The solutions of 3x ≤ 1-2x are (-∞, -0.2] [-0.2, +∞) (-∞, 0.2] I don't know
The solutions of |x-3| ≤ 1 are [-2, +∞] [-2, 4] [2, 4] I don't know
The solutions of x2-3x+2 ≤ 0 are (-∞, -2]∪[1, +∞) [-2, 1] (-∞, -2] I don't know


Let A(1,0) and B(-3,4) be points in the Euclidian plane.

The Midpoint of AB is M(-2,1) True False I don't know
The distance between A and B is AB=4√2 True False I don't know
 
The distance between O and B is OB=
 
An equation of the line AB is
 
The slope of AB is -1 True False I don't know
 
An equation of the line of slope 2 through A is y - 2x + 2 = 0 True False I don't know
An equation of the circle of center A and radius 2 is (x - 1)2 + y2 = 4 True False I don't know


Consider the following graphs:

Graph 1Graph 2Graph 3Graph 4


Graph 5Graph 6Graph 7
has equation y = 1/x.
has equation y = 1/2 x2.
has equation y = x2 - 1.
has equation y = - x3.




Let f(x) = 1/(x+1) and g(x) = 3x3 - 5x.
f(2)=3 True False I don't know
g(2)=10 True False I don't know
f is even True False I don't know
g is odd True False I don't know
 
The domain of f is (-∞, 0) ∪ (0, +∞) True False I don't know
 
The solutions of f(x) = 1/3 are -2   3/4   2   I don't know
 
f ∘ g (x) = 1/(3 x3 - 5x +1) True False I don't know


sin(π/2)= -1 -√3/2 -√2/2 -1/2 0 1/2 √2/2 √3/2 1 I don't know
sin(3π/4)= -1 -√3/2 -√2/2 -1/2 0 1/2 √2/2 √3/2 1 I don't know
sin(π/6)= -1 -√3/2 -√2/2 -1/2 0 1/2 √2/2 √3/2 1 I don't know
cos(π)= -1 -√3/2 -√2/2 -1/2 0 1/2 √2/2 √3/2 1 I don't know
cos(5π/6)= -1 -√3/2 -√2/2 -1/2 0 1/2 √2/2 √3/2 1 I don't know
tan(0)= -1 -√3/2 -√2/2 -1/2 0 1/2 √2/2 √3/2 1 I don't know


sin( - x ) = cos( - x ) =
sin( π - x ) = cos( π/2 + x ) =


sin2 x =       cos2 x =

is the graph of

25 = 2-3 =
121-1/2 = 34 × 3-1 =

Check the correct statement: (32)3 =35      (32)3 =36      (32)3 =39      I don't know

log10 1000 = 3 True False I don't know
log10( - 10) = -1 True False I don't know
log10 0.01 = 1/2 True False I don't know
ln 3a = a ln 3 True False I don't know


When you have answered all the questions click here: